Answer
$\sqrt[24] {x^{23}}$
Work Step by Step
$\sqrt[3] x\sqrt[4] x\sqrt[8] {x^{3}}=x^{1/3}x^{1/4}x^{3/8}=x^{1/3+1/4+3/8}=x^{23/24}=\sqrt[24] {x^{23}}$
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